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Simplifying 7(x + -3) + 7 = 2x + 5(-3 + x) Reorder the terms: 7(-3 + x) + 7 = 2x + 5(-3 + x) (-3 * 7 + x * 7) + 7 = 2x + 5(-3 + x) (-21 + 7x) + 7 = 2x + 5(-3 + x) Reorder the terms: -21 + 7 + 7x = 2x + 5(-3 + x) Combine like terms: -21 + 7 = -14 -14 + 7x = 2x + 5(-3 + x) -14 + 7x = 2x + (-3 * 5 + x * 5) -14 + 7x = 2x + (-15 + 5x) Reorder the terms: -14 + 7x = -15 + 2x + 5x Combine like terms: 2x + 5x = 7x -14 + 7x = -15 + 7x Add '-7x' to each side of the equation. -14 + 7x + -7x = -15 + 7x + -7x Combine like terms: 7x + -7x = 0 -14 + 0 = -15 + 7x + -7x -14 = -15 + 7x + -7x Combine like terms: 7x + -7x = 0 -14 = -15 + 0 -14 = -15 Solving -14 = -15 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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